Skip to Main Content
Electric Circuits and Networks, Ist Edition by Pearson
book

Electric Circuits and Networks, Ist Edition by Pearson

by K. S. Suresh Kumar
May 2024
Intermediate to advanced content levelIntermediate to advanced
840 pages
45h 20m
English
Pearson India
Content preview from Electric Circuits and Networks, Ist Edition by Pearson
587
14.4 SOME BASIC PROPERTIES OF FOURIER TRANSFORMS
SOLUTION
The Fourier transforms of v
1
(t) and v
2
(t) have been derived in Example 14.4-3. We get the
Fourier transform of v(t) by adding these two transforms.
but we know that the Fourier transform of a rectangular pulse with a height of V and
width
τ
is (V
τ
) sin(
ωτ
/2)/(
ωτ
/2). It may easily be shown that this is the same as the result
arrived above.
v(t) and the plot of the real part of its Fourier transform are shown in Fig. 14.4-9.
The imaginary part of Fourier transform is zero.
=
=
2
05
05
205 4
05
05
sin( . )
(. )
cos( . )
sin( . )
(. )
ω
ω
ω
ω
ω
⎦⎦
cos( . ),05
ω
Vj V j V j
jj
() () ()
sin( . )
(. )
..
ωω
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Embedded Systems Circuits and Programming

Embedded Systems Circuits and Programming

Julio Sanchez, Maria P. Canton

Publisher Resources

ISBN: 9781299447028